Injectance and a paradox

TL;DR

This paper reveals that in quantum regimes, interference effects in injectance vanish, making semi-classical formulas exact and simplifying experimental analysis, while also highlighting paradoxical phenomena like zero or negative time delays.

Contribution

It demonstrates the disappearance of interference effects in quantum regimes, validating semi-classical formulas for injectance and exploring related paradoxical phenomena.

Findings

Interference effects vanish in quantum regimes for injectance.

Semi-classical formulas become exact in the quantum regime.

Particles can transmit without delay or with negative delay, unlike reflected particles.

Abstract

Quantum mechanics manifests in experimental observations in several ways. Hauge et al. (1987) and Leavens et al. (1989) had pointed out that interference effects dominate a physical quantity called injectance. We show that, very paradoxically, the interference related term vanish in a quantum regime making semi-classical formula for injectance exact in this regime. This can have useful implications to experimentalists as semi-classical formulas are much more simple. There are other puzzling facts in this regime like an ensemble of particles can be transmitted without any time delay or negative time delays, whereas the reflected particles are associated with a time delay.